To find the value of \( \log_{10}(20) \), we can approximate it or compute it using properties of logarithms.
Using the change of base formula, we can express \( \log_{10}(20) \) in terms of simpler logarithms:
\[ \log_{10}(20) = \log_{10}(2 \times 10) = \log_{10}(2) + \log_{10}(10) \]
We know \( \log_{10}(10) = 1 \). The value of \( \log_{10}(2) \) is approximately \( 0.301 \). Therefore:
\[ \log_{10}(20) \approx 0.301 + 1 = 1.301 \]
None of the provided options (2220, 2002, 200, 2020, 12) seem to be close to \( \log_{10}(20) \approx 1.301 \).
However, work through each option:
- 2220 is much larger.
- 2002 is also much larger.
- 200 is larger than 1.301.
- 2020 is significantly larger.
- 12 is also larger.
None of the options correctly represent the approximate value of \( \log_{10}(20) \). Could you check the options again or provide additional context?